mosolov_augmented_lagrangian2.icc

The Mossolov problem by the augmented Lagrangian method – solver class body

mosolov_augmented_lagrangian::mosolov_augmented_lagrangian()
: Bi(0), n(1), r(1), tol(1e-10), max_iter(1000000),
Xh(), Th(), lh(), a(), b(), inv_mt(), pa()
{}
void mosolov_augmented_lagrangian::reset (geo omega, string approx) {
Xh = space (omega, approx);
Xh.block ("boundary");
string grad_approx = "P" + itos(Xh.degree()-1) + "d";
Th = space (omega, grad_approx, "vector");
trial u (Xh), sigma(Th);
test v (Xh), tau (Th);
lh = integrate(2*v);
a = integrate (dot(grad(u),grad(v)));
b = integrate (dot(grad(u),tau));
integrate_option iopt;
iopt.invert = true;
inv_mt = integrate(dot(sigma,tau), iopt);
pa = problem (a);
}
void
mosolov_augmented_lagrangian::initial (field& sigma_h, field& uh) const {
uh = field(Xh);
uh ["boundary"] = 0;
pa.solve (lh, uh);
test tau (Th);
field mt_grad_uh = integrate(dot(grad(uh),tau));
sigma_h = inv_mt*mt_grad_uh;
}
void mosolov_augmented_lagrangian::put (odiststream& out,
field& sigma_h, field& uh) const
{
out << catchmark("Bi") << Bi << endl
<< catchmark("n") << n << endl
<< catchmark("r") << r << endl
<< catchmark("sigma") << sigma_h
<< catchmark("u") << uh;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
field
see the field page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
mkgeo_ball.n
int n
Definition: mkgeo_ball.sh:150
rheolef::details::dot
rheolef::details::is_vec dot
rheolef::io::out
@ out
Definition: rheostream.h:167
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
a
Definition: diffusion_isotropic.h:25
mosolov_augmented_lagrangian::inv_mt
form inv_mt
Definition: mosolov_augmented_lagrangian.h:36
mosolov_augmented_lagrangian::pa
problem pa
Definition: mosolov_augmented_lagrangian.h:37
mosolov_augmented_lagrangian::mosolov_augmented_lagrangian
mosolov_augmented_lagrangian()
Definition: mosolov_augmented_lagrangian2.icc:25
mosolov_augmented_lagrangian::Bi
Float Bi
Definition: mosolov_augmented_lagrangian.h:32
mosolov_augmented_lagrangian::Xh
space Xh
Definition: mosolov_augmented_lagrangian.h:34
mosolov_augmented_lagrangian::lh
field lh
Definition: mosolov_augmented_lagrangian.h:35
mosolov_augmented_lagrangian::n
Float n
Definition: mosolov_augmented_lagrangian.h:32
mosolov_augmented_lagrangian::reset
void reset(geo omega, string approx)
Definition: mosolov_augmented_lagrangian2.icc:29
mosolov_augmented_lagrangian::r
Float r
Definition: mosolov_augmented_lagrangian.h:32
mosolov_augmented_lagrangian::b
form b
Definition: mosolov_augmented_lagrangian.h:36
mosolov_augmented_lagrangian::put
void put(odiststream &out, field &sigma_h, field &uh) const
Definition: mosolov_augmented_lagrangian2.icc:53
mosolov_augmented_lagrangian::Th
space Th
Definition: mosolov_augmented_lagrangian.h:34
mosolov_augmented_lagrangian::initial
void initial(field &sigma_h, field &uh) const
Definition: mosolov_augmented_lagrangian2.icc:45
sigma
Definition: mosolov_exact_circle.h:40
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26